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a rancher wishes to enclose a rectangular corral with 320 feet of fencing. the fencing only required 3 sides because of an existing wall. what are the dimensions of the corral of maximum area?
Let M>0, and let f:[a,b]-->R be a function which is continuous on [a,b] and differentiable on (a,b), and such that |f'(x)|
At that instant L and W are increasing at a rate of 10 m/s while H is decreasing at a rate of 1 m/s. Find the rate at which the surface area S is changing at that instant.
You randomly select one card from a 52 card deck. What is the probability of selecting a black 6 or a red jack?
Idaho is shaped like a triangle with a base of approximately 320 miles and a height of approximately 520 miles. Calculate the area of Idaho and write the answer in scientific notation.
Telephone rate. A second long-distance telephone service charges $0.09 per minute or fraction thereof for calls lasting 10 minutes or more and $0.18 per minute or fraction thereof for calls lasting less than 10 minutes.
There are 45 participants in the triathlon. The first three finishers will receive prizes. How many ways can the three prizes be given?
An economy has three sectors: A, B, C. Sector A sells 20% of its output to B and 30% to C and retains the rest. Sector B sells 30% of its output to A and 40% to C and retains the rest. Sector C sells 50% of its output to A and 30% to B and retains..
Cassandra bout an antique dresser for $500. If the value of her dresser increase 6% annually, what will be the value of Cassandra dresser at the end of 3 years?
Transform the following linear programming model into proper form for solution by the simplex method (including the artificial variable) and generate the initial simplex tableau. Determine the entering variable and leaving variable.
A certain population has a mean of 488 and a standard deviation of 31. Many samples of size 51 are randomly selected and the means calculated.
For example, if Ken purchases a Sub 100 and if there is a favorable market, he will realize a profit of $300,000. On the other hand, if the market is un-favorable, Ken will suffer a loss of $200,000. But Ken has always been a very optimistic decis..
A circle of radius 1 rolls around the outside of a circle of radius 2 without slipping. The curve traced by a point on the circumference of the smaller circle is called an epicycloid. Use the angle theta to find the set of parametric equations of ..
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